Extension of the Lorenz-Mie-Debye method for electromagnetic scattering to the time-domain

Document Type

Article

Publication Date

10-5-2015

Abstract

In this paper, we extend the frequency domain Lorenz-Mie-Debye formalism for the Maxwell equations to the time-domain. In particular, we show that the problem of scattering from a perfectly conducting sphere can be reduced to the solution of two scalar wave equations - one with Dirichlet boundary conditions and the other with Robin boundary conditions. An explicit, stable, and high-order numerical scheme is then developed, based on our earlier treatment of the scalar case. This new representation may provide some insight into transient electromagnetic phenomena, and can also serve as a reference solution for general purpose time-domain software packages.

Identifier

84937127086 (Scopus)

Publication Title

Journal of Computational Physics

External Full Text Location

https://doi.org/10.1016/j.jcp.2015.07.009

e-ISSN

10902716

ISSN

00219991

First Page

98

Last Page

105

Volume

299

Grant

W911NF-09-1-0344

Fund Ref

National Science Foundation

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